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Finding the Fourth Proportional to 5,646.48, 7,791.56 and 3,162

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Solution

The fourth proportional to 5,646.48, 7,791.56 and 3,162 is: 4,363.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.48 : 7,791.56 = 3,162 : x
  2. Step 2: Convert to fraction form
    5,646.48/7,791.56 = 3,162/x
  3. Step 3: Cross multiply
    5,646.48x = 7,791.56 × 3,162
  4. Step 4: Simplify right side
    5,646.48x = 24,636,912.72
  5. Step 5: Solve for x
    x = 24,636,912.72/5,646.48
  6. Step 6: Final answer
    x = 4,363.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.